Subgroups — #25983254

Order 11008.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1272 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148969	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148359	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146902	C₂	1	1	yes	maximal, characteristic, complemented
4	#19146828	C₂	1	1	yes	maximal, characteristic, complemented
5	#19146793	C₂	1	2	yes	maximal, complemented
6	#19146514	C₂	1	1	yes	maximal, characteristic, complemented
7	#19146442	C₂	1	2	yes	maximal, complemented
8	#19146410	C₂	1	1	yes	maximal, characteristic, complemented
9	#19146326	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146275	C₂	1	2	yes	maximal, complemented
11	D₈×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
12	#19146216	C₂	1	1	yes	maximal, characteristic, complemented
13	#19146201	C₂	1	2	yes	maximal, complemented
14	#19146196	C₂	1	1	yes	maximal, characteristic, complemented
15	#19145567	C₂	1	1	yes	maximal, characteristic, complemented
16	#19145530	C₂	1	1	yes	maximal, characteristic, complemented
17	#19145499	C₂	1	2	yes	maximal, complemented
18	#19145452	C₂	1	2	yes	maximal, complemented
19	#19144595	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143900	C₂	1	2	yes	maximal, complemented
21	#19143858	C₂	1	2	yes	maximal, complemented
22	#19143661	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063370	C₂²	1	2	yes	complemented
25	C₂×#13063352	C₂²	1	2	yes	complemented
26	C₂×#13063349	C₂²	1	2	yes	complemented
27	C₂×#13063346	C₂²	1	2	yes	complemented
28	C₂×D₈×D₄₃	C₂²	1	2	yes	complemented
29	#14583639	—	2	2	no	—
30	#14583622	C₂²	1	1	yes	characteristic, complemented
31	#14583602	C₂²	1	2	yes	complemented
32	#14583571	C₂²	1	1	yes	characteristic, complemented
33	#14583570	—	2	1	no	—
34	#14583554	C₂²	1	1	yes	characteristic, complemented
35	#14583553	—	2	1	no	—
36	#14583553	C₂²	1	1	yes	characteristic
37	#14583553	C₂²	1	1	yes	characteristic, complemented
38	#14583545	—	2	1	no	—
39	#14583544	—	2	2	no	—
40	#14583544	C₂²	1	2	yes	complemented
41	#14583544	C₂²	1	2	yes	complemented
42	#14583542	C₂²	1	2	yes	complemented
43	D₄×D₁₇₂	—	2	1	no	—
44	D₄×D₁₇₂	C₂²	1	1	yes	characteristic
45	D₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
46	D₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
47	#14583520	—	2	1	no	—
48	#14583488	—	2	2	no	—
49	#14583480	C₂²	1	2	yes	complemented
50	#14583479	C₂²	1	2	yes	complemented
51	#14583468	—	2	1	no	—
52	#14583465	C₂²	1	2	yes	complemented
53	#14583461	—	2	2	no	—
54	#14583449	C₂²	1	1	yes	characteristic
55	#14583449	C₂²	1	1	yes	characteristic, complemented
56	#14583449	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063299	—	2	1	no	—
58	C₂×#13063299	—	2	1	no	—
59	#14583281	C₂²	1	2	yes	complemented
60	#14583276	C₂²	1	1	yes	characteristic, complemented
61	#14583272	C₂²	1	1	yes	characteristic, complemented
62	#14583256	C₂²	1	2	yes	complemented
63	#14583250	C₂²	1	1	yes	characteristic, complemented
64	#14583246	C₂²	1	1	yes	characteristic, complemented
65	#14583243	C₂²	1	2	yes	complemented
66	#14583236	C₂²	1	2	yes	complemented
67	#14583225	C₂²	1	2	yes	complemented
68	#14583214	C₂²	1	2	yes	complemented
69	#14583212	C₂²	1	2	yes	complemented
70	#14583179	C₂²	1	1	yes	characteristic, complemented
71	#14583179	C₂²	1	1	yes	characteristic, complemented
72	#14583153	C₂²	1	2	yes	complemented
73	#14583148	C₂²	1	2	yes	complemented
74	#14583146	C₂²	1	2	yes	complemented
75	#14583144	C₂²	1	2	yes	complemented
76	#14583139	C₂²	1	2	yes	complemented
77	#14583136	C₂²	1	2	yes	complemented
78	#14583134	C₂²	1	2	yes	complemented
79	#14583129	C₂²	1	2	yes	complemented
80	#14583115	C₂²	1	2	yes	complemented
81	#14583115	C₂²	1	2	yes	complemented
82	#14583109	C₂²	1	1	yes	characteristic, complemented
83	#14583104	C₂²	1	1	yes	characteristic, complemented
84	#14583099	C₂²	1	1	yes	characteristic, complemented
85	#14583094	C₂²	1	1	yes	characteristic, complemented
86	#14583094	C₂²	1	1	yes	characteristic, complemented
87	#14583094	C₂²	1	1	yes	characteristic, complemented
88	#14583064	C₂²	1	2	yes	complemented
89	#14583059	C₂²	1	2	yes	complemented
90	#14583058	C₂²	1	2	yes	complemented
91	#14583051	C₂²	1	2	yes	complemented
92	#14583048	C₂²	1	2	yes	complemented
93	#14583047	C₂²	1	2	yes	complemented
94	#14583046	C₂²	1	2	yes	complemented
95	#14583046	C₂²	1	2	yes	complemented
96	#14583045	C₂²	1	2	yes	complemented
97	#14583045	C₂²	1	2	yes	complemented
98	#14583042	C₂²	1	2	yes	complemented
99	#14583041	C₂²	1	2	yes	complemented
100	#14583034	C₂²	1	2	yes	complemented
101	#14583034	C₂²	1	2	yes	complemented
102	#14583034	C₂²	1	2	yes	complemented
103	#14583033	C₂²	1	2	yes	complemented
104	#14583031	C₂²	1	2	yes	complemented
105	C₄×#10621882	C₂²	1	2	yes	complemented
106	C₄×#10621882	C₂²	1	2	yes	complemented
107	#14582978	C₂²	1	1	yes	characteristic, complemented
108	#14582978	C₂²	1	1	yes	characteristic, complemented
109	#14582976	C₂²	1	2	yes	complemented
110	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
111	C₈×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
112	#14582964	C₂²	1	2	yes	complemented
113	#14582952	C₂²	1	1	yes	characteristic, complemented
114	#14582902	C₂²	1	2	yes	complemented
115	#14582897	C₂²	1	2	yes	complemented
116	#14582892	C₂²	1	2	yes	complemented
117	#102×D₄₃	C₂²	1	2	yes	complemented
118	#14582864	C₂²	1	2	yes	complemented
119	#14582864	C₂²	1	2	yes	complemented
120	C₄₃×#529	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#484	C₂²	1	1	yes	characteristic, complemented
123	C₄₃×#481	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#478	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#478	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#463	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#463	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#450	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#447	C₂²	1	1	yes	characteristic
130	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₄×D₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#431	C₂²	1	1	yes	characteristic, complemented
135	#13063370	—	4	4	no	—
136	#13063370	—	4	4	no	—
137	C₂×#10621902	C₂³	1	2	yes	—
138	C₂×#10621898	—	2	1	no	—
139	C₂×#10621898	—	2	1	no	—
140	C₂×#10621898	C₂³	1	2	yes	—
141	C₂×#10621898	C₂³	1	2	yes	—
142	C₂×#10621900	—	2	2	no	—
143	C₂×#10621900	C₂³	1	2	yes	—
144	C₂×#10621900	C₂³	1	2	yes	—
145	C₂²×D₁₇₂	—	2	1	no	—
146	C₂²×D₁₇₂	—	2	1	no	—
147	C₂²×D₁₇₂	—	2	1	no	—
148	C₂²×C₂²⋊D₄₃	—	2	2	no	—
149	C₂²×C₂²⋊D₄₃	—	2	2	no	—
150	C₂×D₄×D₄₃	—	2	2	no	—
151	C₂×D₄×D₄₃	C₂³	1	2	yes	—
152	C₂×D₄×D₄₃	C₂³	1	2	yes	—
153	C₂×D₄×D₄₃	C₂³	1	2	yes	—
154	#13063352	—	4	4	no	—
155	#13063349	—	4	4	no	—
156	#13063346	—	4	4	no	—
157	C₂×#10621885	C₂³	1	2	yes	—
158	C₂×#10621873	C₂³	1	2	yes	—
159	C₂×#10621873	C₂³	1	2	yes	—
160	C₂×#10621883	C₂³	1	2	yes	—
161	C₂×#10621884	C₂³	1	2	yes	—
162	C₂×D₃₄₄	C₂³	1	2	yes	—
163	C₂×D₃₄₄	C₂³	1	2	yes	—
164	C₂×#10621882	C₂³	1	2	yes	—
165	C₂×#10621882	C₂³	1	2	yes	—
166	C₂×#10621882	C₂³	1	2	yes	—
167	D₈×D₄₃	—	4	4	no	—
168	C₂×#10621872	C₂³	1	2	yes	—
169	C₂×#10621872	C₂³	1	2	yes	—
170	C₂×C₈×D₄₃	C₂³	1	2	yes	—
171	C₂×C₈×D₄₃	C₂³	1	2	yes	—
172	#13063325	D₄	1	1	yes	characteristic
173	#13063325	C₂³	1	1	yes	characteristic
174	#13063325	C₂³	1	1	yes	characteristic
175	#13063322	—	2	1	no	—
176	#13063322	D₄	1	1	yes	characteristic
177	#13063322	C₂³	1	1	yes	characteristic
178	#13063322	C₂³	1	1	yes	characteristic
179	#13063321	—	2	2	no	—
180	#13063320	—	2	2	no	—
181	#13063320	—	2	2	no	—
182	#13063313	—	2	1	no	—
183	#13063313	—	2	1	no	—
184	#13063313	D₄	1	2	yes	—
185	#13063313	C₂³	1	2	yes	—
186	#13063311	—	2	2	no	—
187	#13063310	—	2	2	no	—
188	#13063309	—	2	2	no	—
189	#13063309	—	2	2	no	—
190	#13063309	—	2	2	no	—
191	#13063309	—	2	2	no	—
192	#13063307	—	2	2	no	—
193	#13063307	—	2	2	no	—
194	#13063305	—	2	2	no	—
195	#13063305	C₂³	1	2	yes	—
196	#13063305	C₂³	1	2	yes	—
197	#13063304	—	2	1	no	—
198	#13063303	—	2	2	no	—
199	#13063301	C₂³	1	2	yes	—
200	#13063300	—	2	2	no	—
201	#13063300	—	2	2	no	—
202	#13063300	—	2	2	no	—
203	#13063300	—	2	2	no	—
204	#13063300	C₂³	1	2	yes	—
205	#13063300	C₂³	1	2	yes	—
206	#13063300	C₂³	1	2	yes	—
207	#13063300	C₂³	1	2	yes	—
208	#13063299	—	2	1	no	—
209	#13063299	—	2	1	no	—
210	#13063299	—	2	1	no	—
211	#13063299	—	2	2	no	—
212	#13063299	—	2	2	no	—
213	#13063299	—	2	1	no	—
214	#13063299	—	2	1	no	—
215	#13063299	—	2	2	no	—
216	#13063299	—	2	2	no	—
217	#13063299	—	2	1	no	—
218	#13063299	—	2	1	no	—
219	#13063299	—	2	1	no	—
220	#13063299	D₄	1	1	yes	characteristic
221	#13063299	D₄	1	2	yes	—
222	#13063299	D₄	1	1	yes	characteristic
223	#13063299	C₂³	1	2	yes	—
224	#13063298	—	2	2	no	—
225	#13063298	—	2	2	no	—
226	#13063298	—	2	2	no	—
227	#13063296	C₂³	1	2	yes	—
228	#13063295	—	2	2	no	—
229	#13063295	—	2	2	no	—
230	#13063295	—	2	2	no	—
231	#13063295	—	2	2	no	—
232	#13063295	—	2	2	no	—
233	#13063295	—	2	2	no	—
234	#13063295	—	2	2	no	—
235	#13063293	—	2	2	no	—
236	C₄×Dic₈₆	—	2	1	no	—
237	C₄×D₁₇₂	—	2	1	no	—
238	C₄×D₁₇₂	—	2	1	no	—
239	C₄×D₁₇₂	—	2	1	no	—
240	C₄×D₁₇₂	—	2	1	no	—
241	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
242	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
243	C₄×D₁₇₂	C₂³	1	2	yes	—
244	C₄×D₁₇₂	C₂³	1	2	yes	—
245	#13063287	—	2	2	no	—
246	#13063283	C₂³	1	2	yes	—
247	C₂×C₄⋊Dic₄₃	—	2	1	no	—
248	C₂×C₄⋊Dic₄₃	—	2	1	no	—
249	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
250	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
251	C₂×(C₂×D₄₃)⋊C₄	—	2	2	no	—
252	C₂²⋊C₄×D₄₃	—	2	2	no	—
253	#13063258	C₂³	1	2	yes	—
254	#13063258	C₂³	1	2	yes	—
255	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
256	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
257	#13063250	C₂³	1	2	yes	—
258	#13063250	C₂³	1	2	yes	—
259	#13063248	C₂³	1	2	yes	—
260	#13063248	C₂³	1	2	yes	—
261	#13063247	C₂³	1	2	yes	—
262	#13063247	C₂³	1	2	yes	—
263	#13063246	C₂³	1	2	yes	—
264	#13063246	C₂³	1	2	yes	—
265	#13063245	C₂³	1	2	yes	—
266	#13063245	C₂³	1	2	yes	—
267	#13063245	C₂³	1	2	yes	—
268	#13063245	C₂³	1	2	yes	—
269	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
270	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
271	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
274	C₄×C₄₃⋊C₈	C₂³	1	2	yes	—
275	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
276	C₂³×C₄×C₄₃	—	2	1	no	—
277	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
280	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic
281	#126×C₄₃	—	2	1	no	—
282	#125×C₄₃	C₂³	1	1	yes	characteristic
283	#124×C₄₃	C₂³	1	1	yes	characteristic
284	#123×C₄₃	—	2	1	no	—
285	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	#121×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₄₃	—	2	1	no	—
289	C₄×D₄×C₄₃	—	2	1	no	—
290	C₄×D₄×C₄₃	—	2	1	no	—
291	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
292	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
296	#117×C₄₃	—	2	1	no	—
297	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
299	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
300	#107×C₄₃	C₂³	1	1	yes	characteristic
301	#107×C₄₃	C₂³	1	1	yes	characteristic
302	#106×C₄₃	C₂³	1	1	yes	characteristic
303	#106×C₄₃	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#103×C₄₃	C₂³	1	1	yes	characteristic
308	#102×C₄₃	C₂³	1	1	yes	characteristic
309	#102×C₄₃	C₂³	1	1	yes	characteristic
310	#102×C₄₃	C₂³	1	1	yes	characteristic
311	#102×C₄₃	C₂³	1	1	yes	characteristic
312	#102×C₄₃	C₂³	1	1	yes	characteristic
313	#102×C₄₃	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₄₃	C₂³	1	1	yes	characteristic
316	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
318	C₂⁴×C₄₃	—	2	1	no	—
319	C₂³×D₄₃	—	2	2	no	—
320	C₂³×D₄₃	—	2	2	no	—
321	C₂³×D₄₃	—	2	2	no	—
322	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
323	C₂×D₄×C₄₃	—	2	2	no	—
324	C₂×D₄×C₄₃	—	2	2	no	—
325	C₂×D₄×C₄₃	—	2	1	no	—
326	C₂×D₄×C₄₃	—	2	1	no	—
327	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	—	2	1	no	—
331	C₂²×C₄×C₄₃	—	2	1	no	—
332	C₂²×C₄×C₄₃	—	2	1	no	—
333	C₂²×C₄×C₄₃	—	2	1	no	—
334	C₂²×C₄×C₄₃	—	2	1	no	—
335	C₂²×C₄×C₄₃	—	2	1	no	—
336	C₂²×C₄×C₄₃	—	8	2	no	—
337	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
338	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
339	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
340	C₂×C₂²⋊D₄₃	—	2	2	no	—
341	C₂×C₂²⋊D₄₃	—	2	2	no	—
342	C₂×C₂²⋊D₄₃	—	2	2	no	—
343	C₂×C₂²⋊D₄₃	—	2	2	no	—
344	C₂×C₂²⋊D₄₃	—	2	2	no	—
345	C₂×C₂²⋊D₄₃	—	2	2	no	—
346	C₂×C₂²⋊D₄₃	—	2	2	no	—
347	C₂×C₂²⋊D₄₃	—	2	2	no	—
348	C₂×C₂²⋊D₄₃	—	4	8	no	—
349	C₂×C₂²⋊D₄₃	—	4	8	no	—
350	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
351	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
352	C₂²×Dic₄₃	—	2	2	no	—
353	C₂²×Dic₄₃	—	2	2	no	—
354	#10621902	—	4	2	no	—
355	#10621902	—	4	2	no	—
356	#10621900	—	2	4	no	—
357	#10621900	—	2	4	no	—
358	#10621900	—	4	2	no	—
359	#10621900	—	4	2	no	—
360	#10621900	—	4	8	no	—
361	D₄×D₄₃	—	2	4	no	—
362	D₄×D₄₃	—	2	4	no	—
363	D₄×D₄₃	—	4	2	no	—
364	D₄×D₄₃	—	4	2	no	—
365	D₄×D₄₃	—	4	8	no	—
366	D₄×D₄₃	—	4	2	no	—
367	D₄×D₄₃	—	4	2	no	—
368	#10621898	—	4	2	no	—
369	#10621898	—	4	2	no	—
370	#10621898	—	4	2	no	—
371	#10621898	—	4	2	no	—
372	#10621898	—	8	2	no	—
373	#10621898	—	8	2	no	—
374	C₂×D₁₇₂	—	2	1	no	—
375	C₂×D₁₇₂	—	2	1	no	—
376	C₂×D₁₇₂	—	2	1	no	—
377	C₂×D₁₇₂	—	2	1	no	—
378	C₂×D₁₇₂	—	2	2	no	—
379	C₂×D₁₇₂	—	2	2	no	—
380	C₂×D₁₇₂	—	2	2	no	—
381	C₂×D₁₇₂	—	2	2	no	—
382	C₂×D₁₇₂	—	2	2	no	—
383	C₂×D₁₇₂	—	8	2	no	—
384	C₂×D₁₇₂	—	8	2	no	—
385	C₂×D₁₇₂	—	8	2	no	—
386	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
387	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
388	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
389	C₂×D₁₇₂	C₂×D₄	1	2	yes	—
390	C₂×D₁₇₂	C₂⁴	1	2	yes	—
391	C₂×D₁₇₂	C₂⁴	1	2	yes	—
392	C₂×C₄×D₄₃	—	2	2	no	—
393	C₂×C₄×D₄₃	—	2	2	no	—
394	C₂×C₄×D₄₃	—	2	2	no	—
395	C₂×C₄×D₄₃	—	2	2	no	—
396	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
397	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
398	C₂×Dic₈₆	—	2	1	no	—
399	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
400	C₂×Dic₈₆	C₂⁴	1	2	yes	—
401	SD₁₆×C₄₃	—	2	2	no	—
402	SD₁₆×C₄₃	—	2	2	no	—
403	D₈×C₄₃	—	2	2	no	—
404	D₈×C₄₃	—	2	2	no	—
405	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₄⋊C₄×C₄₃	—	2	1	no	—
410	C₄⋊C₄×C₄₃	—	2	1	no	—
411	C₄⋊C₄×C₄₃	—	2	1	no	—
412	C₄⋊C₄×C₄₃	—	2	1	no	—
413	C₄⋊C₄×C₄₃	—	2	1	no	—
414	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
416	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²⋊C₄×C₄₃	—	2	1	no	—
419	C₂²⋊C₄×C₄₃	—	2	1	no	—
420	C₂²⋊C₄×C₄₃	—	2	1	no	—
421	C₂²⋊C₄×C₄₃	—	2	1	no	—
422	C₂²⋊C₄×C₄₃	—	2	1	no	—
423	C₂²⋊C₄×C₄₃	—	2	1	no	—
424	C₂²⋊C₄×C₄₃	—	2	1	no	—
425	C₂²⋊C₄×C₄₃	—	2	1	no	—
426	C₂²⋊C₄×C₄₃	—	2	1	no	—
427	C₄²×C₄₃	—	2	1	no	—
428	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
429	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
430	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
431	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
432	C₂²⋊Dic₄₃	—	2	2	no	—
433	#10621885	—	4	2	no	—
434	#10621884	—	4	2	no	—
435	#10621883	—	4	2	no	—
436	#10621882	—	2	4	no	—
437	#10621882	—	2	4	no	—
438	#10621882	—	4	2	no	—
439	(C₂×D₄₃)⋊C₄	—	2	2	no	—
440	(C₂×D₄₃)⋊C₄	—	2	2	no	—
441	(C₂×D₄₃)⋊C₄	—	2	2	no	—
442	(C₂×D₄₃)⋊C₄	—	2	2	no	—
443	(C₂×D₄₃)⋊C₄	—	2	2	no	—
444	(C₂×D₄₃)⋊C₄	—	2	2	no	—
445	(C₂×D₄₃)⋊C₄	—	2	2	no	—
446	(C₂×D₄₃)⋊C₄	—	2	2	no	—
447	(C₂×D₄₃)⋊C₄	—	2	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	2	no	—
450	(C₂×D₄₃)⋊C₄	—	2	2	no	—
451	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
452	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
453	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
454	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
455	C₄⋊Dic₄₃	—	2	1	no	—
456	C₄⋊Dic₄₃	—	2	1	no	—
457	C₄⋊Dic₄₃	—	2	1	no	—
458	C₄⋊Dic₄₃	—	2	2	no	—
459	C₄⋊Dic₄₃	—	2	2	no	—
460	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
461	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
462	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
463	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
464	Dic₄₃⋊C₄	—	2	2	no	—
465	Dic₄₃⋊C₄	—	2	2	no	—
466	C₄×Dic₄₃	—	2	2	no	—
467	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
468	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
469	D₃₄₄	—	4	2	no	—
470	D₃₄₄	—	4	2	no	—
471	#10621873	—	4	2	no	—
472	#10621873	—	4	2	no	—
473	#10621872	—	4	2	no	—
474	#10621872	—	4	2	no	—
475	C₈×D₄₃	—	4	2	no	—
476	C₈×D₄₃	—	4	2	no	—
477	C₂³×C₄₃	—	2	4	no	—
478	C₂³×C₄₃	—	2	1	no	—
479	C₂³×C₄₃	—	2	1	no	—
480	C₂³×C₄₃	—	2	1	no	—
481	C₂³×C₄₃	—	8	1	no	—
482	C₂³×C₄₃	—	8	1	no	—
483	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
484	C₂²×D₄₃	—	2	2	no	—
485	C₂²×D₄₃	—	2	2	no	—
486	C₂²×D₄₃	—	4	4	no	—
487	C₂²×D₄₃	—	4	4	no	—
488	C₂²×D₄₃	—	8	2	no	—
489	C₂²×D₄₃	—	8	2	no	—
490	C₂²×D₄₃	—	8	2	no	—
491	C₂²×D₄₃	—	8	2	no	—
492	C₂²×D₄₃	—	8	2	no	—
493	C₂²×D₄₃	—	8	2	no	—
494	C₂²×D₄₃	—	8	2	no	—
495	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
496	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
497	Q₈×C₄₃	—	2	1	no	—
498	Q₈×C₄₃	—	2	1	no	—
499	D₄×C₄₃	—	2	4	no	—
500	D₄×C₄₃	—	2	1	no	—
501	D₄×C₄₃	—	2	1	no	—
502	D₄×C₄₃	—	2	1	no	—
503	D₄×C₄₃	—	2	1	no	—
504	D₄×C₄₃	—	8	1	no	—
505	D₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
506	D₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
507	C₂×C₄×C₄₃	—	2	2	no	—
508	C₂×C₄×C₄₃	—	2	1	no	—
509	C₂×C₄×C₄₃	—	2	1	no	—
510	C₂×C₄×C₄₃	—	2	1	no	—
511	C₂×C₄×C₄₃	—	2	1	no	—
512	C₂×C₄×C₄₃	—	2	1	no	—
513	C₂×C₄×C₄₃	—	2	1	no	—
514	C₂×C₄×C₄₃	—	2	1	no	—
515	C₂×C₄×C₄₃	—	4	1	no	—
516	C₂×C₄×C₄₃	—	4	2	no	—
517	C₂×C₄×C₄₃	—	4	2	no	—
518	C₂×C₄×C₄₃	—	4	2	no	—
519	C₂×C₄×C₄₃	—	8	1	no	—
520	C₂×C₄×C₄₃	—	8	1	no	—
521	C₂×C₄×C₄₃	—	8	1	no	—
522	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
526	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
527	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
528	C₂²⋊D₄₃	—	4	2	no	—
529	C₂²⋊D₄₃	—	4	2	no	—
530	C₂²⋊D₄₃	—	4	4	no	—
531	C₂²⋊D₄₃	—	4	4	no	—
532	C₂²⋊D₄₃	—	4	4	no	—
533	C₂²⋊D₄₃	—	4	4	no	—
534	C₂²⋊D₄₃	—	4	4	no	—
535	C₂²⋊D₄₃	—	8	2	no	—
536	C₂²⋊D₄₃	—	8	2	no	—
537	C₂²⋊D₄₃	—	8	2	no	—
538	C₂×Dic₄₃	—	2	2	no	—
539	C₂×Dic₄₃	—	2	2	no	—
540	C₂×Dic₄₃	—	4	4	no	—
541	C₂×Dic₄₃	—	4	4	no	—
542	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
543	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
544	D₁₇₂	—	2	2	no	—
545	D₁₇₂	—	2	2	no	—
546	D₁₇₂	—	2	2	no	—
547	D₁₇₂	—	2	2	no	—
548	D₁₇₂	—	2	2	no	—
549	D₁₇₂	—	2	2	no	—
550	D₁₇₂	—	4	2	no	—
551	D₁₇₂	—	4	2	no	—
552	D₁₇₂	—	4	2	no	—
553	D₁₇₂	—	4	2	no	—
554	D₁₇₂	—	8	1	no	—
555	D₁₇₂	—	8	1	no	—
556	D₁₇₂	—	8	2	no	—
557	D₁₇₂	—	8	2	no	—
558	D₁₇₂	—	8	2	no	—
559	D₁₇₂	—	8	2	no	—
560	D₁₇₂	—	8	2	no	—
561	C₄×D₄₃	—	2	2	no	—
562	C₄×D₄₃	—	2	2	no	—
563	C₄×D₄₃	—	2	2	no	—
564	C₄×D₄₃	—	2	2	no	—
565	C₄×D₄₃	—	4	4	no	—
566	C₄×D₄₃	—	8	2	no	—
567	C₄×D₄₃	—	8	2	no	—
568	C₄×D₄₃	—	8	2	no	—
569	Dic₈₆	—	2	2	no	—
570	Dic₈₆	—	2	2	no	—
571	Dic₈₆	—	4	2	no	—
572	Dic₈₆	—	4	2	no	—
573	C₈×C₄₃	—	2	1	no	—
574	C₈×C₄₃	—	2	1	no	—
575	C₈×C₄₃	—	2	1	no	—
576	C₈×C₄₃	—	2	1	no	—
577	C₄₃⋊C₈	—	2	2	no	—
578	C₄₃⋊C₈	—	2	2	no	—
579	#61657	—	43	1	no	maximal, Sylow
580	C₂²×C₄₃	—	2	1	no	—
581	C₂²×C₄₃	—	2	2	no	—
582	C₂²×C₄₃	—	2	2	no	—
583	C₂²×C₄₃	—	2	1	no	—
584	C₂²×C₄₃	—	2	1	no	—
585	C₂²×C₄₃	—	4	1	no	—
586	C₂²×C₄₃	—	4	1	no	—
587	C₂²×C₄₃	—	4	1	no	—
588	C₂²×C₄₃	—	4	1	no	—
589	C₂²×C₄₃	—	4	1	no	—
590	C₂²×C₄₃	—	4	1	no	—
591	C₂²×C₄₃	—	4	1	no	—
592	C₂²×C₄₃	—	8	4	no	—
593	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
594	C₂×D₄₃	—	2	2	no	—
595	C₂×D₄₃	—	2	2	no	—
596	C₂×D₄₃	—	2	2	no	—
597	C₂×D₄₃	—	2	2	no	—
598	C₂×D₄₃	—	2	2	no	—
599	C₂×D₄₃	—	2	2	no	—
600	C₂×D₄₃	—	4	2	no	—
601	C₂×D₄₃	—	4	2	no	—
602	C₂×D₄₃	—	4	2	no	—
603	C₂×D₄₃	—	4	2	no	—
604	C₂×D₄₃	—	4	2	no	—
605	C₂×D₄₃	—	4	2	no	—
606	C₂×D₄₃	—	16	4	no	—
607	C₂×D₄₃	—	16	4	no	—
608	C₂×D₄₃	—	16	4	no	—
609	C₄×C₄₃	—	2	1	no	—
610	C₄×C₄₃	—	2	1	no	—
611	C₄×C₄₃	—	2	1	no	—
612	C₄×C₄₃	—	2	1	no	—
613	C₄×C₄₃	—	4	1	no	—
614	C₄×C₄₃	—	4	1	no	—
615	C₄×C₄₃	—	4	1	no	—
616	C₄×C₄₃	—	4	1	no	—
617	C₄×C₄₃	—	4	1	no	—
618	C₄×C₄₃	#576	1	2	yes	—
619	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
620	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
621	Dic₄₃	—	2	2	no	—
622	Dic₄₃	—	2	2	no	—
623	Dic₄₃	—	4	2	no	—
624	Dic₄₃	—	4	2	no	—
625	#3546	—	43	1	no	—
626	#3496	—	43	1	no	—
627	#3330	—	43	1	no	—
628	#3324	—	43	1	no	—
629	#3322	—	43	2	no	—
630	#3302	—	43	1	no	—
631	#3297	—	43	2	no	—
632	#3294	—	43	1	no	—
633	#3284	—	43	1	no	—
634	#3280	—	43	2	no	—
635	D₄×D₈	—	43	1	no	—
636	#3274	—	43	1	no	—
637	#3273	—	43	2	no	—
638	#3272	—	43	1	no	—
639	#3212	—	43	1	no	—
640	#3207	—	43	1	no	—
641	#3203	—	43	2	no	—
642	#3198	—	43	2	no	—
643	#3105	D₄₃	1	1	yes	characteristic, complemented
644	#3100	—	43	1	no	—
645	#3012	—	43	2	no	—
646	#3008	—	43	2	no	—
647	#2979	—	43	1	no	—
648	C₂×C₄₃	—	4	2	no	—
649	C₂×C₄₃	—	4	2	no	—
650	C₂×C₄₃	—	4	1	no	—
651	C₂×C₄₃	—	8	1	no	—
652	C₂×C₄₃	#3484	1	1	yes	characteristic
653	C₂×C₄₃	C₂×#576	1	1	yes	characteristic
654	C₂×C₄₃	#3584	1	1	yes	characteristic
655	D₄₃	—	4	2	no	—
656	D₄₃	—	4	2	no	—
657	D₄₃	—	8	2	no	—
658	D₄₃	—	8	2	no	—
659	C₂×H(5,𝔽₂)	—	43	2	no	—
660	C₂×AGL(1,ℤ/8)	—	43	2	no	—
661	C₂×AGL(1,ℤ/8)	—	43	2	no	—
662	C₂×#135	—	43	2	no	—
663	C₂²×D₈	—	43	2	no	—
664	#560	—	86	2	no	—
665	#556	—	43	1	no	—
666	#553	—	43	2	no	—
667	#550	—	43	1	no	—
668	#550	—	86	1	no	—
669	#547	—	43	1	no	—
670	#547	—	43	1	no	—
671	#547	—	43	1	no	—
672	#547	—	86	1	no	—
673	#546	—	43	2	no	—
674	#546	—	43	2	no	—
675	#546	—	43	2	no	—
676	#546	—	86	1	no	—
677	#546	—	86	2	no	—
678	D₄²	—	43	1	no	—
679	D₄²	—	43	1	no	—
680	D₄²	—	43	1	no	—
681	D₄²	—	86	1	no	—
682	#542	—	86	1	no	—
683	#538	—	86	2	no	—
684	#537	—	43	2	no	—
685	#537	—	43	2	no	—
686	#535	—	43	2	no	—
687	#535	—	86	1	no	—
688	#534	—	86	2	no	—
689	#532	—	43	1	no	—
690	#532	—	43	1	no	—
691	#532	—	43	1	no	—
692	#529	C₂×D₄₃	1	1	yes	characteristic, complemented
693	C₂×#121	—	86	1	no	—
694	C₂×#121	—	86	1	no	—
695	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
696	#495	—	43	2	no	—
697	#493	—	43	1	no	—
698	#492	—	43	1	no	—
699	#488	—	43	2	no	—
700	#487	—	43	1	no	—
701	#486	—	43	1	no	—
702	#485	—	43	2	no	—
703	#484	—	43	2	no	—
704	#484	C₂×D₄₃	1	1	yes	characteristic, complemented
705	#482	—	43	2	no	—
706	#481	C₂×D₄₃	1	1	yes	characteristic, complemented
707	#480	—	43	2	no	—
708	#480	—	43	2	no	—
709	#478	C₂×D₄₃	1	1	yes	characteristic, complemented
710	#478	C₂×D₄₃	1	1	yes	characteristic, complemented
711	#474	—	43	1	no	—
712	#474	—	43	1	no	—
713	#469	—	43	2	no	—
714	#468	—	43	2	no	—
715	#468	—	43	2	no	—
716	#468	—	43	2	no	—
717	#467	—	43	2	no	—
718	#466	—	43	2	no	—
719	#466	—	43	2	no	—
720	#465	—	43	2	no	—
721	#463	—	43	2	no	—
722	#463	—	43	2	no	—
723	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
724	#463	C₂×D₄₃	1	1	yes	characteristic, complemented
725	#462	—	43	1	no	—
726	#461	—	43	1	no	—
727	#460	—	43	1	no	—
728	#459	—	43	1	no	—
729	#459	—	43	1	no	—
730	#459	—	43	1	no	—
731	#452	—	43	2	no	—
732	#452	—	43	2	no	—
733	#452	—	43	2	no	—
734	#450	—	43	2	no	—
735	#450	—	43	2	no	—
736	#450	C₂×D₄₃	1	1	yes	characteristic, complemented
737	#449	—	43	2	no	—
738	#449	—	43	2	no	—
739	#449	—	43	2	no	—
740	#449	—	43	2	no	—
741	#449	—	43	2	no	—
742	#449	—	43	2	no	—
743	#449	—	43	2	no	—
744	#447	—	43	2	no	—
745	#447	—	43	2	no	—
746	#447	—	43	2	no	—
747	#447	—	43	2	no	—
748	#447	—	43	2	no	—
749	#447	C₂×D₄₃	1	1	yes	characteristic
750	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
751	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
752	C₄×D₈	—	43	2	no	—
753	C₄×D₈	—	43	2	no	—
754	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
755	C₄×D₈	C₂×D₄₃	1	1	yes	characteristic, complemented
756	#436	—	43	2	no	—
757	#436	—	43	1	no	—
758	#436	—	43	1	no	—
759	C₈×D₄	—	43	2	no	—
760	C₈×D₄	—	43	1	no	—
761	C₈×D₄	—	43	1	no	—
762	#431	—	43	1	no	—
763	#431	C₂×D₄₃	1	1	yes	characteristic, complemented
764	#418	—	43	2	no	—
765	#417	—	43	2	no	—
766	#416	—	43	2	no	—
767	C₂×#102	—	43	2	no	—
768	#408	—	43	2	no	—
769	#408	—	43	2	no	—
770	C₄₃	#61657	1	1	yes	characteristic, complemented, Sylow
771	H(5,𝔽₂)	—	172	4	no	—
772	H(5,𝔽₂)	—	172	4	no	—
773	C₂×#41	—	43	2	no	—
774	C₂×#41	—	43	2	no	—
775	C₂×#41	—	43	2	no	—
776	C₂×#41	—	43	2	no	—
777	C₂×#41	—	43	2	no	—
778	C₂×#41	—	86	1	no	—
779	C₂×#41	—	86	2	no	—
780	C₂×#41	—	86	1	no	—
781	C₂²×D₄	—	43	2	no	—
782	C₂²×D₄	—	43	2	no	—
783	C₂²×D₄	—	43	2	no	—
784	C₂²×D₄	—	86	1	no	—
785	C₂²×D₄	—	86	1	no	—
786	C₂²×D₄	—	86	1	no	—
787	C₂²×D₄	—	86	2	no	—
788	C₂²×D₄	—	86	2	no	—
789	C₂²×D₄	—	86	2	no	—
790	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
791	C₂³×C₄	—	2	1	no	—
792	AGL(1,ℤ/8)	—	172	4	no	—
793	AGL(1,ℤ/8)	—	172	4	no	—
794	#135	—	172	4	no	—
795	C₂×Q₁₆	—	43	2	no	—
796	C₂×SD₁₆	—	43	2	no	—
797	C₂×SD₁₆	—	43	2	no	—
798	C₂×SD₁₆	—	43	2	no	—
799	C₂×SD₁₆	—	43	2	no	—
800	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
801	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
802	C₂×D₈	—	43	2	no	—
803	C₂×D₈	—	43	2	no	—
804	C₂×D₈	—	43	2	no	—
805	C₂×D₈	—	43	2	no	—
806	C₂×D₈	—	43	2	no	—
807	C₂×D₈	—	172	4	no	—
808	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
809	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic
810	C₂×M₁₆	—	43	2	no	—
811	C₂×M₁₆	—	43	2	no	—
812	C₂²×C₈	—	43	2	no	—
813	C₂²×C₈	—	43	2	no	—
814	C₄⋊Q₈	—	43	1	no	—
815	C₄⋊Q₈	—	43	1	no	—
816	C₄⋊Q₈	—	43	1	no	—
817	#127	—	43	1	no	—
818	#127	—	43	1	no	—
819	#127	—	43	1	no	—
820	#127	—	86	1	no	—
821	#127	—	86	2	no	—
822	#126	—	2	1	no	—
823	#126	—	86	2	no	—
824	#126	—	86	2	no	—
825	#125	C₂²×D₄₃	1	1	yes	characteristic
826	#124	—	43	2	no	—
827	#124	—	43	2	no	—
828	#124	—	86	1	no	—
829	#124	—	86	2	no	—
830	#124	—	86	1	no	—
831	#124	C₂²×D₄₃	1	1	yes	characteristic
832	#123	—	2	1	no	—
833	#123	—	86	2	no	—
834	#123	—	86	2	no	—
835	#123	—	86	2	no	—
836	#123	—	86	2	no	—
837	#123	—	86	2	no	—
838	#123	—	86	2	no	—
839	#123	—	86	2	no	—
840	C₂²⋊Q₈	—	43	2	no	—
841	C₂²⋊Q₈	—	43	2	no	—
842	C₂²⋊Q₈	—	43	2	no	—
843	C₂²⋊Q₈	—	86	2	no	—
844	C₂²⋊Q₈	—	86	2	no	—
845	C₂²⋊Q₈	—	86	1	no	—
846	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
847	#121	—	43	1	no	—
848	#121	—	43	1	no	—
849	#121	—	43	2	no	—
850	#121	—	43	2	no	—
851	#121	—	43	2	no	—
852	#121	—	43	2	no	—
853	#121	—	43	2	no	—
854	#121	—	43	2	no	—
855	#121	—	43	2	no	—
856	#121	—	86	2	no	—
857	#121	—	86	2	no	—
858	#121	—	86	2	no	—
859	#121	—	86	2	no	—
860	#121	—	86	2	no	—
861	#121	—	86	2	no	—
862	#121	—	86	2	no	—
863	#121	—	86	2	no	—
864	#121	—	86	2	no	—
865	#121	—	86	1	no	—
866	#121	—	86	1	no	—
867	#121	—	86	1	no	—
868	#121	—	86	2	no	—
869	#121	—	86	2	no	—
870	#121	—	86	1	no	—
871	#121	—	86	1	no	—
872	#121	—	86	1	no	—
873	#121	—	86	1	no	—
874	#121	—	86	1	no	—
875	#121	C₂²×D₄₃	1	1	yes	characteristic
876	#120	—	86	2	no	—
877	#120	—	86	2	no	—
878	#120	—	86	2	no	—
879	#120	—	86	2	no	—
880	#120	—	86	2	no	—
881	#120	—	86	2	no	—
882	#120	—	86	2	no	—
883	#120	—	86	2	no	—
884	C₄×Q₈	—	86	1	no	—
885	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	43	1	no	—
890	C₄×D₄	—	43	1	no	—
891	C₄×D₄	—	43	2	no	—
892	C₄×D₄	—	43	2	no	—
893	C₄×D₄	—	86	1	no	—
894	C₄×D₄	—	86	2	no	—
895	C₄×D₄	—	86	1	no	—
896	C₄×D₄	—	86	1	no	—
897	C₄×D₄	—	86	1	no	—
898	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
899	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
900	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
901	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
902	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
903	#117	—	2	1	no	—
904	#117	—	43	2	no	—
905	C₂×C₄⋊C₄	—	43	2	no	—
906	C₂×C₄⋊C₄	—	86	1	no	—
907	C₂×C₄⋊C₄	—	86	1	no	—
908	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	—	2	1	no	—
910	C₂×C₂²⋊C₄	—	86	2	no	—
911	C₂×C₂²⋊C₄	—	86	2	no	—
912	C₂×C₂²⋊C₄	—	86	2	no	—
913	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
914	#107	—	43	2	no	—
915	#107	—	43	2	no	—
916	#107	C₂²×D₄₃	1	1	yes	characteristic
917	#107	C₂²×D₄₃	1	1	yes	characteristic
918	#106	C₂²×D₄₃	1	1	yes	characteristic
919	#106	C₂²×D₄₃	1	1	yes	characteristic
920	C₄⋊C₈	—	43	1	no	—
921	C₄⋊C₈	—	43	1	no	—
922	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
923	C₄⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
924	#103	—	43	2	no	—
925	#103	—	43	2	no	—
926	#103	—	43	2	no	—
927	#103	—	43	2	no	—
928	#103	C₂²×D₄₃	1	1	yes	characteristic
929	#103	C₂²×D₄₃	1	1	yes	characteristic
930	#102	—	43	2	no	—
931	#102	—	43	2	no	—
932	#102	—	43	2	no	—
933	#102	—	43	2	no	—
934	#102	—	43	2	no	—
935	#102	—	43	2	no	—
936	#102	—	43	2	no	—
937	#102	—	43	2	no	—
938	#102	C₂²×D₄₃	1	1	yes	characteristic
939	#102	C₂²×D₄₃	1	1	yes	characteristic
940	#102	C₂²×D₄₃	1	1	yes	characteristic
941	#102	C₂²×D₄₃	1	1	yes	characteristic
942	#102	C₂²×D₄₃	1	1	yes	characteristic
943	#102	C₂²×D₄₃	1	1	yes	characteristic
944	C₂²⋊C₈	—	43	2	no	—
945	C₂²⋊C₈	—	43	2	no	—
946	C₂²⋊C₈	—	43	2	no	—
947	C₂²⋊C₈	—	43	2	no	—
948	C₂²⋊C₈	—	43	2	no	—
949	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
950	C₂²⋊C₈	C₂²×D₄₃	1	1	yes	characteristic
951	C₄×C₈	—	43	2	no	—
952	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
953	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
954	C₂⁴	—	2	1	no	—
955	C₂⁴	—	86	2	no	—
956	C₂⁴	—	86	2	no	—
957	C₂⁴	—	86	2	no	—
958	#41	—	86	4	no	—
959	#41	—	86	4	no	—
960	#41	—	344	2	no	—
961	#41	—	344	2	no	—
962	#41	—	172	2	no	—
963	#41	—	172	2	no	—
964	#41	—	172	2	no	—
965	#41	—	172	2	no	—
966	#41	—	172	2	no	—
967	#41	—	172	2	no	—
968	#41	—	172	2	no	—
969	#41	—	172	2	no	—
970	#41	—	172	8	no	—
971	C₂×Q₈	—	43	2	no	—
972	C₂×Q₈	—	43	2	no	—
973	C₂×Q₈	—	86	1	no	—
974	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
975	C₂×D₄	—	2	2	no	—
976	C₂×D₄	—	2	2	no	—
977	C₂×D₄	—	2	1	no	—
978	C₂×D₄	—	2	1	no	—
979	C₂×D₄	—	43	2	no	—
980	C₂×D₄	—	43	2	no	—
981	C₂×D₄	—	43	1	no	—
982	C₂×D₄	—	43	1	no	—
983	C₂×D₄	—	43	2	no	—
984	C₂×D₄	—	43	2	no	—
985	C₂×D₄	—	43	2	no	—
986	C₂×D₄	—	43	2	no	—
987	C₂×D₄	—	86	2	no	—
988	C₂×D₄	—	86	2	no	—
989	C₂×D₄	—	86	2	no	—
990	C₂×D₄	—	86	2	no	—
991	C₂×D₄	—	86	2	no	—
992	C₂×D₄	—	86	2	no	—
993	C₂×D₄	—	86	2	no	—
994	C₂×D₄	—	86	2	no	—
995	C₂×D₄	—	86	4	no	—
996	C₂×D₄	—	86	4	no	—
997	C₂×D₄	—	86	2	no	—
998	C₂×D₄	—	86	2	no	—
999	C₂×D₄	—	86	2	no	—
1000	C₂×D₄	—	86	2	no	—
1001	C₂×D₄	—	86	2	no	—
1002	C₂×D₄	—	86	1	no	—
1003	C₂×D₄	—	86	1	no	—
1004	C₂×D₄	—	86	1	no	—
1005	C₂×D₄	—	86	1	no	—
1006	C₂×D₄	—	344	2	no	—
1007	C₂×D₄	—	344	2	no	—
1008	C₂×D₄	—	344	2	no	—
1009	C₂×D₄	—	172	2	no	—
1010	C₂×D₄	—	172	2	no	—
1011	C₂×D₄	—	172	2	no	—
1012	C₂×D₄	—	172	2	no	—
1013	C₂×D₄	—	172	8	no	—
1014	C₂×D₄	—	172	8	no	—
1015	C₂×D₄	—	172	8	no	—
1016	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1017	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1018	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	1	no	—
1022	C₂²×C₄	—	2	1	no	—
1023	C₂²×C₄	—	2	1	no	—
1024	C₂²×C₄	—	2	1	no	—
1025	C₂²×C₄	—	8	2	no	—
1026	C₂²×C₄	—	43	2	no	—
1027	C₂²×C₄	—	43	2	no	—
1028	C₂²×C₄	—	86	2	no	—
1029	C₂²×C₄	—	86	2	no	—
1030	C₂²×C₄	—	86	2	no	—
1031	C₂²×C₄	—	86	2	no	—
1032	C₂²×C₄	—	86	2	no	—
1033	C₂²×C₄	—	86	2	no	—
1034	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1035	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1037	Q₁₆	—	172	2	no	—
1038	SD₁₆	—	2	2	no	—
1039	SD₁₆	—	2	2	no	—
1040	SD₁₆	—	172	2	no	—
1041	SD₁₆	—	172	2	no	—
1042	SD₁₆	—	172	2	no	—
1043	SD₁₆	—	172	2	no	—
1044	D₈	—	2	2	no	—
1045	D₈	—	2	2	no	—
1046	D₈	—	86	4	no	—
1047	D₈	—	86	4	no	—
1048	D₈	—	172	2	no	—
1049	D₈	—	172	2	no	—
1050	D₈	—	172	2	no	—
1051	M₁₆	—	172	2	no	—
1052	M₁₆	—	172	2	no	—
1053	C₂×C₈	—	43	2	no	—
1054	C₂×C₈	—	43	2	no	—
1055	C₂×C₈	—	172	2	no	—
1056	C₂×C₈	—	172	2	no	—
1057	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1058	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1059	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1060	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	43	1	no	—
1067	C₄⋊C₄	—	43	1	no	—
1068	C₄⋊C₄	—	43	2	no	—
1069	C₄⋊C₄	—	43	2	no	—
1070	C₄⋊C₄	—	86	2	no	—
1071	C₄⋊C₄	—	86	2	no	—
1072	C₄⋊C₄	—	86	2	no	—
1073	C₄⋊C₄	—	86	2	no	—
1074	C₄⋊C₄	—	86	1	no	—
1075	C₄⋊C₄	—	86	1	no	—
1076	C₄⋊C₄	—	86	1	no	—
1077	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1078	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1079	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1080	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	—	2	1	no	—
1084	C₂²⋊C₄	—	2	1	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	43	2	no	—
1091	C₂²⋊C₄	—	43	2	no	—
1092	C₂²⋊C₄	—	43	2	no	—
1093	C₂²⋊C₄	—	43	2	no	—
1094	C₂²⋊C₄	—	86	2	no	—
1095	C₂²⋊C₄	—	86	2	no	—
1096	C₂²⋊C₄	—	86	2	no	—
1097	C₂²⋊C₄	—	86	2	no	—
1098	C₂²⋊C₄	—	86	2	no	—
1099	C₂²⋊C₄	—	86	2	no	—
1100	C₂²⋊C₄	—	86	2	no	—
1101	C₂²⋊C₄	—	86	2	no	—
1102	C₂²⋊C₄	—	86	2	no	—
1103	C₂²⋊C₄	—	86	2	no	—
1104	C₂²⋊C₄	—	86	2	no	—
1105	C₂²⋊C₄	—	86	2	no	—
1106	C₂²⋊C₄	—	86	2	no	—
1107	C₄²	—	2	1	no	—
1108	C₄²	—	86	2	no	—
1109	C₄²	D₄×D₄₃	1	1	yes	characteristic
1110	C₄²	D₄×D₄₃	1	1	yes	characteristic
1111	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1112	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1113	C₂³	—	2	4	no	—
1114	C₂³	—	2	1	no	—
1115	C₂³	—	2	1	no	—
1116	C₂³	—	2	1	no	—
1117	C₂³	—	8	1	no	—
1118	C₂³	—	8	1	no	—
1119	C₂³	—	43	2	no	—
1120	C₂³	—	43	2	no	—
1121	C₂³	—	86	2	no	—
1122	C₂³	—	86	2	no	—
1123	C₂³	—	344	2	no	—
1124	C₂³	—	344	2	no	—
1125	C₂³	—	344	2	no	—
1126	C₂³	—	344	2	no	—
1127	C₂³	—	344	2	no	—
1128	C₂³	—	344	2	no	—
1129	C₂³	—	344	2	no	—
1130	C₂³	—	172	4	no	—
1131	C₂³	—	172	4	no	—
1132	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1133	Q₈	—	2	1	no	—
1134	Q₈	—	2	1	no	—
1135	Q₈	—	86	2	no	—
1136	Q₈	—	86	2	no	—
1137	Q₈	—	172	2	no	—
1138	Q₈	—	172	2	no	—
1139	D₄	—	2	4	no	—
1140	D₄	—	2	1	no	—
1141	D₄	—	2	1	no	—
1142	D₄	—	2	1	no	—
1143	D₄	—	2	1	no	—
1144	D₄	—	8	1	no	—
1145	D₄	—	86	2	no	—
1146	D₄	—	86	2	no	—
1147	D₄	—	86	2	no	—
1148	D₄	—	86	2	no	—
1149	D₄	—	86	2	no	—
1150	D₄	—	86	2	no	—
1151	D₄	—	344	1	no	—
1152	D₄	—	344	1	no	—
1153	D₄	—	344	2	no	—
1154	D₄	—	344	2	no	—
1155	D₄	—	344	2	no	—
1156	D₄	—	344	2	no	—
1157	D₄	—	344	2	no	—
1158	D₄	—	344	2	no	—
1159	D₄	—	344	2	no	—
1160	D₄	—	344	2	no	—
1161	D₄	—	172	2	no	—
1162	D₄	—	172	2	no	—
1163	D₄	—	172	2	no	—
1164	D₄	—	172	2	no	—
1165	D₄	—	172	4	no	—
1166	D₄	—	172	4	no	—
1167	D₄	—	172	4	no	—
1168	D₄	—	172	4	no	—
1169	D₄	—	172	4	no	—
1170	D₄	—	172	2	no	—
1171	D₄	—	172	2	no	—
1172	D₄	#13063371	1	2	yes	—
1173	D₄	#13063371	1	2	yes	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	2	no	—
1184	C₂×C₄	—	4	2	no	—
1185	C₂×C₄	—	4	2	no	—
1186	C₂×C₄	—	8	1	no	—
1187	C₂×C₄	—	8	1	no	—
1188	C₂×C₄	—	8	1	no	—
1189	C₂×C₄	—	43	2	no	—
1190	C₂×C₄	—	43	2	no	—
1191	C₂×C₄	—	86	2	no	—
1192	C₂×C₄	—	86	2	no	—
1193	C₂×C₄	—	86	2	no	—
1194	C₂×C₄	—	86	2	no	—
1195	C₂×C₄	—	86	2	no	—
1196	C₂×C₄	—	86	2	no	—
1197	C₂×C₄	—	344	2	no	—
1198	C₂×C₄	—	344	2	no	—
1199	C₂×C₄	—	344	2	no	—
1200	C₂×C₄	—	172	4	no	—
1201	C₂×C₄	—	172	4	no	—
1202	C₂×C₄	—	172	4	no	—
1203	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1204	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1205	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1206	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1207	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1208	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1209	C₈	—	2	1	no	—
1210	C₈	—	2	1	no	—
1211	C₈	—	2	1	no	—
1212	C₈	—	2	1	no	—
1213	C₈	—	86	2	no	—
1214	C₈	—	86	2	no	—
1215	C₂²	—	2	1	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	2	no	—
1219	C₂²	—	2	2	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	8	4	no	—
1228	C₂²	—	86	2	no	—
1229	C₂²	—	86	2	no	—
1230	C₂²	—	86	2	no	—
1231	C₂²	—	86	2	no	—
1232	C₂²	—	86	2	no	—
1233	C₂²	—	86	2	no	—
1234	C₂²	—	172	2	no	—
1235	C₂²	—	172	2	no	—
1236	C₂²	—	172	2	no	—
1237	C₂²	—	172	2	no	—
1238	C₂²	—	172	2	no	—
1239	C₂²	—	172	2	no	—
1240	C₂²	—	688	4	no	—
1241	C₂²	—	688	4	no	—
1242	C₂²	—	688	4	no	—
1243	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1244	C₄	—	2	1	no	—
1245	C₄	—	2	1	no	—
1246	C₄	—	2	1	no	—
1247	C₄	—	2	1	no	—
1248	C₄	—	4	1	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	86	2	no	—
1254	C₄	—	86	2	no	—
1255	C₄	—	172	2	no	—
1256	C₄	—	172	2	no	—
1257	C₄	#14583703	1	2	yes	—
1258	C₄	C₂×#13063371	1	1	yes	characteristic
1259	C₄	C₂×#13063371	1	1	yes	characteristic
1260	C₂	—	4	1	no	—
1261	C₂	—	4	2	no	—
1262	C₂	—	4	2	no	—
1263	C₂	—	8	1	no	—
1264	C₂	—	344	2	no	—
1265	C₂	—	344	2	no	—
1266	C₂	—	172	2	no	—
1267	C₂	—	172	2	no	—
1268	C₂	#19148228	1	1	yes	characteristic
1269	C₂	C₂×#14583703	1	1	yes	characteristic
1270	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3105	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3105	D₄₃
hypocenter	C₄₃	#61657
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3105

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #19148969	C₂	semidirect
2. #19148359	C₂	semidirect
3. #19146902	C₂	semidirect
4. #19146828	C₂	semidirect
5. #19146793	C₂	semidirect
6. #19146514	C₂	semidirect
7. #19146442	C₂	semidirect
8. #19146410	C₂	semidirect
9. #19146326	C₂	semidirect
10. #19146275	C₂	semidirect
11. D₈×D₁₇₂	C₂	semidirect
12. #19146216	C₂	semidirect
13. #19146201	C₂	semidirect
14. #19146196	C₂	semidirect
15. #19145567	C₂	semidirect
16. #19145530	C₂	semidirect
17. #19145499	C₂	semidirect
18. #19145452	C₂	semidirect
19. #19144595	C₂	semidirect
20. #19143900	C₂	semidirect
21. #19143858	C₂	semidirect
22. #19143661	C₂	semidirect
23. C₄₃×#3105	C₂	semidirect
24. C₂×#13063370	C₂²	semidirect
25. C₂×#13063352	C₂²	semidirect
26. C₂×#13063349	C₂²	semidirect
27. C₂×#13063346	C₂²	semidirect
28. C₂×D₈×D₄₃	C₂²	semidirect
30. #14583622	C₂²	semidirect
31. #14583602	C₂²	semidirect
32. #14583571	C₂²	semidirect
34. #14583554	C₂²	semidirect
37. #14583553	C₂²	semidirect
40. #14583544	C₂²	semidirect
41. #14583544	C₂²	semidirect
42. #14583542	C₂²	semidirect
45. D₄×D₁₇₂	C₂²	semidirect
46. D₄×D₁₇₂	C₂²	semidirect
49. #14583480	C₂²	semidirect
50. #14583479	C₂²	semidirect
52. #14583465	C₂²	semidirect
55. #14583449	C₂²	semidirect
56. #14583449	C₂²	semidirect
59. #14583281	C₂²	semidirect
60. #14583276	C₂²	semidirect
61. #14583272	C₂²	semidirect
62. #14583256	C₂²	semidirect
63. #14583250	C₂²	semidirect
64. #14583246	C₂²	semidirect
65. #14583243	C₂²	semidirect
66. #14583236	C₂²	semidirect
67. #14583225	C₂²	semidirect
68. #14583214	C₂²	semidirect
69. #14583212	C₂²	semidirect
70. #14583179	C₂²	semidirect
71. #14583179	C₂²	semidirect
72. #14583153	C₂²	semidirect
73. #14583148	C₂²	semidirect
74. #14583146	C₂²	semidirect
75. #14583144	C₂²	semidirect
76. #14583139	C₂²	semidirect
77. #14583136	C₂²	semidirect
78. #14583134	C₂²	semidirect
79. #14583129	C₂²	semidirect
80. #14583115	C₂²	semidirect
81. #14583115	C₂²	semidirect
82. #14583109	C₂²	semidirect
83. #14583104	C₂²	semidirect
84. #14583099	C₂²	semidirect
85. #14583094	C₂²	semidirect
86. #14583094	C₂²	semidirect
87. #14583094	C₂²	semidirect
88. #14583064	C₂²	semidirect
89. #14583059	C₂²	semidirect
90. #14583058	C₂²	semidirect
91. #14583051	C₂²	semidirect
92. #14583048	C₂²	semidirect
93. #14583047	C₂²	semidirect
94. #14583046	C₂²	semidirect
95. #14583046	C₂²	semidirect
96. #14583045	C₂²	semidirect
97. #14583045	C₂²	semidirect
98. #14583042	C₂²	semidirect
99. #14583041	C₂²	semidirect
100. #14583034	C₂²	semidirect
101. #14583034	C₂²	semidirect
102. #14583034	C₂²	semidirect
103. #14583033	C₂²	semidirect
104. #14583031	C₂²	semidirect
105. C₄×#10621882	C₂²	semidirect
106. C₄×#10621882	C₂²	semidirect
107. #14582978	C₂²	semidirect
108. #14582978	C₂²	semidirect
109. #14582976	C₂²	semidirect
110. C₈×D₁₇₂	C₂²	semidirect
111. C₈×D₁₇₂	C₂²	semidirect
112. #14582964	C₂²	semidirect
113. #14582952	C₂²	semidirect
114. #14582902	C₂²	semidirect
115. #14582897	C₂²	semidirect
116. #14582892	C₂²	semidirect
117. #102×D₄₃	C₂²	semidirect
118. #14582864	C₂²	semidirect
119. #14582864	C₂²	semidirect
120. C₄₃×#529	C₂²	semidirect
121. C₂×C₄×D₄×C₄₃	C₂²	semidirect
122. C₄₃×#484	C₂²	semidirect
123. C₄₃×#481	C₂²	semidirect
124. C₄₃×#478	C₂²	semidirect
125. C₄₃×#478	C₂²	semidirect
126. C₄₃×#463	C₂²	semidirect
127. C₄₃×#463	C₂²	semidirect
128. C₄₃×#450	C₂²	semidirect
130. C₄×SD₁₆×C₄₃	C₂²	semidirect
131. C₄×SD₁₆×C₄₃	C₂²	semidirect
132. C₄×D₈×C₄₃	C₂²	semidirect
133. C₄×D₈×C₄₃	C₂²	semidirect
134. C₄₃×#431	C₂²	semidirect
643. #3105	D₄₃	semidirect
692. #529	C₂×D₄₃	semidirect
695. C₂×C₄×D₄	C₂×D₄₃	semidirect
704. #484	C₂×D₄₃	semidirect
706. #481	C₂×D₄₃	semidirect
709. #478	C₂×D₄₃	semidirect
710. #478	C₂×D₄₃	semidirect
723. #463	C₂×D₄₃	semidirect
724. #463	C₂×D₄₃	semidirect
736. #450	C₂×D₄₃	semidirect
750. C₄×SD₁₆	C₂×D₄₃	semidirect
751. C₄×SD₁₆	C₂×D₄₃	semidirect
754. C₄×D₈	C₂×D₄₃	semidirect
755. C₄×D₈	C₂×D₄₃	semidirect
763. #431	C₂×D₄₃	semidirect
770. C₄₃	#61657	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#19148969	2
#19148359	2
#19146902	2
#19146828	2
#19146793	2
#19146514	2
#19146442	2
#19146410	2
#19146326	2
#19146275	2
D₈×D₁₇₂	2
#19146216	2
#19146201	2
#19146196	2
#19145567	2
#19145530	2
#19145499	2
#19145452	2
#19144595	2
#19143900	2
#19143858	2
#19143661	2
C₄₃×#3105	2
#61657	43